4 papers
Trapping by repulsion: the NLS with a delta-prime
Riccardo Adami, Filippo Boni, Matteo Gallone
We establish the existence and provide explicit expressions for the stationary states of the one-dimensional Schrödinger equation with a repulsive delta-prime potential and a focus…
Schrödinger evolution on surfaces in 3D contact sub-Riemannian manifolds
Riccardo Adami, Ugo Boscain, Dario Prandi +1
Let be a 3-dimensional contact sub-Riemannian manifold and a surface embedded in . Such a surface inherits a field of directions that becomes singular at characteristic…
An explicitly solvable NLS model with discontinuous standing waves
Riccardo Adami, Filippo Boni, Takaaki Nakamura +1
We study the NLS Equation on the line with a point interaction given by the superposition of an attractive delta potential with a dipole interaction, in the cases of -subcriti…
Ground states for the NLS on non-compact graphs with an attractive potential
Riccardo Adami, Ivan Gallo, David Spitzkopf
We consider the subcritical nonlinear Schrödinger equation on non-compact quantum graphs with an attractive potential supported in the compact core, and investigate the existence a…